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Finding the Fourth Proportional to 9,198, 12,693.24 and 5,472

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Solution

The fourth proportional to 9,198, 12,693.24 and 5,472 is: 7,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 12,693.24 = 5,472 : x
  2. Step 2: Convert to fraction form
    9,198/12,693.24 = 5,472/x
  3. Step 3: Cross multiply
    9,198x = 12,693.24 × 5,472
  4. Step 4: Simplify right side
    9,198x = 69,457,409.28
  5. Step 5: Solve for x
    x = 69,457,409.28/9,198
  6. Step 6: Final answer
    x = 7,551.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.